Proceedings - Mathematical Sciences

Items from 1 to 20 out of 741 results

article

Erratum to Quasi-parabolic Siegel formula

Nitin Nitsure

Proceedings - Mathematical Sciences > 1997 > 107 > 2 > 221-222

The main result of the above paper is mistaken, because of a defective lemma. Here we replace the defective lemma, and derive the corrected quasi-parabolic analogue of the Siegel formula.

article

A note on equivariant Euler characteristic

Amiya Mukherjee, Aniruddha C. Naolekar

Proceedings - Mathematical Sciences > 1997 > 107 > 2 > 163-167

We give a new equivariant cohomological characterization of the equivariant Euler characteristic of aG-simplicial set as defined by Brown. This implies in particular that the equivariant Euler characteristic is aG-homotopy invariant.

article

On a general theorem concerning some absolute summability methods

W. T. Sulaiman

Proceedings - Mathematical Sciences > 1997 > 107 > 2 > 183-188

In this note a general theorem covering several absolute summability methods e.g, ¦N,p_n¦_k¦R,p_n¦_k, is proved.

article

Bredon cohomology of cyclic geometric realization ofG-cyclic sets

Goutam Mukherjee, Aniruddha C. Naolekar

Proceedings - Mathematical Sciences > 1997 > 107 > 2 > 155-161

We define equivariant cyclic and Hochschild cohomology modules of a cyclic objectX in the category ofG-sets and relate them with the Bredon cohomologies of the cyclic geometric realization ¦X¦^cy.

article

Degree of approximation of functions in the Hölder metric by Borel’s means

G. Das, A. K. Ojha, B. K. Ray

Proceedings - Mathematical Sciences > 1997 > 107 > 2 > 169-182

After establishing the Fourier character of the series the authors have studied the degree of approximation of functions associated with the same series in the Hölder metric using Borel’s mean.

article

Generic hypersurface singularities

James Alexander, André Hirschowitz

Proceedings - Mathematical Sciences > 1997 > 107 > 2 > 139-154

The problem considered here can be viewed as the analogue in higher dimensions of the one variable polynomial interpolation of Lagrange and Newton. Let x₁,...,x_r be closed points in general position in projective spacePn, then the linear subspaceV ofH⁰ (⨑ⁿ,O(d)) (the space of homogeneous polynomials of degreed on ⨑ⁿ) formed by those polynomials which are singular at eachx_i, is given by r(n + 1) linear...

article

Inequalities for the derivative of a polynomial

Abdul Aziz, Nisar Ahmad

Proceedings - Mathematical Sciences > 1997 > 107 > 2 > 189-196

Let P(z) be a polynomial of degreen which does not vanish in ¦z¦ <k, wherek > 0. Fork ≤ 1, it is known that % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaCbeaeaaci%...

article

Degenerations of the moduli spaces of vector bundles on curves I

D. S. Nagaraj, C. S. Seshadri

Proceedings - Mathematical Sciences > 1997 > 107 > 2 > 101-137

LetY be a smooth projective curve degenerating to a reducible curveX with two components meeting transversally at one point. We show that the moduli space of vector bundles of rank two and odd determinant on Ydegenerates to a moduli space onX which has nice properties, in particular, it has normal crossings. We also show that a nice degeneration exists when we fix the determinant. We give some conjectures...

article

Random commutation

F. Martínez, A. R. Villena

Proceedings - Mathematical Sciences > 1997 > 107 > 2 > 201-212

We investigate the commutation between a continuous linear random operator and a continuous linear deterministic operator on a Banach space. From this we obtain probabilistic versions of theorems by Fuglede and Putnam, both of them dealing with the commutation between continuous linear operators with continuous normal operators on a Hilbert space.

article

On self-reciprocal polynomials

Abdul Aziz, B. A. Zargar

Proceedings - Mathematical Sciences > 1997 > 107 > 2 > 197-199

In this paper we establish a sharp result concerning integral mean estimates for self-reciprocal polynomials.

article

Surface instability in a finite thickness fluid saturated porous layer

N. Rudraiah, B. S. Krishnamurthy, T. Masuoka

Proceedings - Mathematical Sciences > 1997 > 107 > 2 > 213-220

The Rayleigh-Taylor (RT) instability at the interface between fluid and fluid saturated sparsely packed porous medium has been investigated making use of boundary layer approximation and Saffmann [8] boundary condition. An analytical solution for dispersion relation is obtained and is numerically evaluated for different values of the parameters. It is shown that RT instability can be controlled by...

article

Weyl multipliers for invariant Sobelev spaces

Ramakrishnan Radha, Sundaram Thangavelu

Proceedings - Mathematical Sciences > 1998 > 108 > 1 > 31-40

A concrete characterization for theL ^P-multipliers (1<p<∞) for the Weyl transform is obtained. This is used to study the Weyl multipliers for Laguerre Sobolev spacesW ^m,p(ℂⁿ). A dual space characterization is obtained for the Weyl multiplier classM _W(W _L ^m,1 (ℂⁿ)).

article

On the neutrix convolution product ofx ₋ ^r Inx ₋ andx ₊ ⁻³

Emin Özçag

Proceedings - Mathematical Sciences > 1998 > 108 > 1 > 41-49

The existence of the neutrix convolution product of distributionx ₋ ^r Inx ₋ andx ₊ ⁻³ is proved and some convolution products are evaluated.

article

Finite dimensional imbeddings of harmonic spaces

K Ramachandran, A Ranjan

Proceedings - Mathematical Sciences > 1998 > 108 > 1 > 13-21

For a noncompact harmonic manifoldM we establish finite dimensionality of the eigensubspacesV _γ generated by radial eigenfunctions of the form coshr+c. As a consequence, for such harmonic manifolds, we give an isometric imbedding ofM into (V _γ,B), whereB is a nondegenerate symmetric bilinear indefinite form onV _γ (analogous to the imbedding of the real hyperbolic spaceH ⁿ into ℝⁿ⁺¹ with the indefinite...

article

A class of convolution integral equations involving a generalized polynomial set

Sp Goyal, Tariq O Salim

Proceedings - Mathematical Sciences > 1998 > 108 > 1 > 55-62

The aim of this paper is to derive a solution of a certain class of convolution integral equation of Fredholm type whose kernel involves a generalized polynomial set. Our main result is believed to be general and unified in nature. A number of (known or new) results follow as special cases, simply by specializing the coefficients and parameters involved in the generalized polynomial set. For the sake...

article

Remarks on Banaschewski-Fomin-Shanin extensions

Vishvajit V S Gautam, Vinod Kumar

Proceedings - Mathematical Sciences > 1998 > 108 > 1 > 23-30

The notion ofB ^*-continuous andB _c ^* -continuous maps is introduced. The problem of epireflection of Banaschewski-Fomin-Shanin extension for a general Hausdorff space is investigated with the help of_p B ^* and_P B _c ^* -continuous maps.

article

A seminorm with square property is automatically submultiplicative

H V Dedania

Proceedings - Mathematical Sciences > 1998 > 108 > 1 > 51-53

The result stated in the title is proved in a linear associative algebra, answering a problem posed in [3].

article

Surface wave propagation in a liquid-saturated porous solid layer lying over a heterogeneous elastic solid half-space

Rajneesh Kumar

Proceedings - Mathematical Sciences > 1998 > 108 > 1 > 69-79

Dispersion equation is derived for the propagation of Rayleigh type surface waves in a liquid saturated porous solid layer lying over an inhomogeneous elastic solid half-space. Effect of heterogeneity on the phase velocity is studied by taking different numerical values of heterogeneity factor for particular models. Dispersion curves have been drawn showing the effect of heterogeneity on the phase...

article

Torus quotients of homogeneous spaces

S Senthamarai Kannan

Proceedings - Mathematical Sciences > 1998 > 108 > 1 > 1-12

We study torus quotients of principal homogeneous spaces. We classify the Grassmannians for which semi-stable=stable and as an application we construct smooth projective varieties as torus quotients of certain homogeneous spaces. We prove the finiteness of the ring ofT invariants of the homogeneous co-ordinate ring of the GrassmannianG _2,n (n odd) over the ring generated byR ₁, the first graded part...

article

Scattering of Love waves due to the presence of a rigid barrier of finite depth in the crustal layer of the earth

P S Deshwal, S Mudgal

Proceedings - Mathematical Sciences > 1998 > 108 > 1 > 81-94

The problem of scattering of Love waves due to the presence of a rigid barrier of finite depth in the crusfal layer of the earth is studied in the present paper. The barrier is in the slightly dissipative surface layer and the surface of the layer is a free surface. The Wiener-Hopf technique is the method of solution. Evaluation of the integrals along appropriate contours in the complex plane yields...

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Proceedings - Mathematical Sciences

Erratum to Quasi-parabolic Siegel formula

A note on equivariant Euler characteristic

On a general theorem concerning some absolute summability methods

Bredon cohomology of cyclic geometric realization ofG-cyclic sets

Degree of approximation of functions in the Hölder metric by Borel’s means

Generic hypersurface singularities

Inequalities for the derivative of a polynomial

Degenerations of the moduli spaces of vector bundles on curves I

Random commutation

On self-reciprocal polynomials

Surface instability in a finite thickness fluid saturated porous layer

Weyl multipliers for invariant Sobelev spaces

On the neutrix convolution product ofx ₋ ^r Inx ₋ andx ₊ ⁻³

Finite dimensional imbeddings of harmonic spaces

A class of convolution integral equations involving a generalized polynomial set

Remarks on Banaschewski-Fomin-Shanin extensions

A seminorm with square property is automatically submultiplicative

Surface wave propagation in a liquid-saturated porous solid layer lying over a heterogeneous elastic solid half-space

Torus quotients of homogeneous spaces

Scattering of Love waves due to the presence of a rigid barrier of finite depth in the crustal layer of the earth

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